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irga5000 [103]
3 years ago
6

Sarah takes 550 mg of an antibiotic. Every hour, her body breaks down 25% of the remaining drug. How much will be left after 12

hours?.
Mathematics
1 answer:
hammer [34]3 years ago
7 0

The amount of drugs that will be left after 12 hours is 17.42 mg provided Sarah takes 550 mg of an antibiotic every hour.

<h3>What is exponential decay?</h3>

Exponential decay can be described as a reduced amount of an original substance by a definite percentage over a period of time. It can be determined by using the formula:

\mathbf{y = a(1 - r)^t}

where;

  • y = total amount,          
  • a = initial amount = 550 mg
  • r = the growth rate = 0.25
  • t = number of growth periods = 12 hours

\mathbf{y = 550(1 - 0.25)^{12}}

y = 17.42 mg

Therefore, we can conclude that the amount of drugs that will be left after 12 hours is 17.42 mg.

Learn more about the exponential decay model here:

brainly.com/question/12940982

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